2065780335168 has 1120 divisors, whose sum is σ = 7444941216768. Its totient is φ = 558976204800.

The previous prime is 2065780335161. The next prime is 2065780335173. The reversal of 2065780335168 is 8615330875602.

2065780335168 is a `hidden beast` number, since 2 + 0 + 6 + 578 + 0 + 3 + 3 + 5 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2065780335161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1592736696 + ... + 1592737992.

Almost surely, 2^{2065780335168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2065780335168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722470608384).

2065780335168 is an abundant number, since it is smaller than the sum of its proper divisors (5379160881600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2065780335168 is a wasteful number, since it uses less digits than its factorization.

2065780335168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2065780335168 in words is "two trillion, sixty-five billion, seven hundred eighty million, three hundred thirty-five thousand, one hundred sixty-eight".